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|
// -*-C++-*-
#ifndef VEC_SSE_FLOAT4_H
#define VEC_SSE_FLOAT4_H
#include "floatprops.h"
#include "mathfuncs.h"
#include "vec_base.h"
#include <cmath>
// SSE2 intrinsics
#include <xmmintrin.h>
#ifdef __SSE3__ // Intel's SSE 3
# include <pmmintrin.h>
#endif
#ifdef __SSSE3__ // Intel's SSSE 3
# include <tmmintrin.h>
#endif
#if defined __SSE4_1__ // Intel's SSE 4.1
# include <smmintrin.h>
#endif
#if defined __SSE4A__ // AMD's SSE 4a
# include <ammintrin.h>
#endif
#if defined __AVX__ // Intel's AVX
# include <immintrin.h>
#endif
namespace vecmathlib {
#define VECMATHLIB_HAVE_VEC_FLOAT_4
template<> struct boolvec<float,4>;
template<> struct intvec<float,4>;
template<> struct realvec<float,4>;
template<>
struct boolvec<float,4>: floatprops<float>
{
static int const size = 4;
typedef bool scalar_t;
typedef __m128 bvector_t;
static int const alignment = sizeof(bvector_t);
static_assert(size * sizeof(real_t) == sizeof(bvector_t),
"vector size is wrong");
private:
// true values have the sign bit set, false values have it unset
static uint_t from_bool(bool a) { return - int_t(a); }
static bool to_bool(uint_t a) { return int_t(a) < int_t(0); }
public:
typedef boolvec boolvec_t;
typedef intvec<real_t, size> intvec_t;
typedef realvec<real_t, size> realvec_t;
// Short names for type casts
typedef real_t R;
typedef int_t I;
typedef uint_t U;
typedef realvec_t RV;
typedef intvec_t IV;
typedef boolvec_t BV;
typedef floatprops<real_t> FP;
typedef mathfuncs<realvec_t> MF;
bvector_t v;
boolvec() {}
// Can't have a non-trivial copy constructor; if so, objects won't
// be passed in registers
// boolvec(boolvec const& x): v(x.v) {}
// boolvec& operator=(boolvec const& x) { return v=x.v, *this; }
boolvec(bvector_t x): v(x) {}
boolvec(bool a):
v(_mm_castsi128_ps(_mm_set1_epi32(from_bool(a)))) {}
boolvec(bool const* as):
v(_mm_castsi128_ps(_mm_set_epi32(from_bool(as[3]),
from_bool(as[2]),
from_bool(as[1]),
from_bool(as[0])))) {}
operator bvector_t() const { return v; }
bool operator[](int n) const
{
return to_bool(vecmathlib::get_elt<BV,bvector_t,uint_t>(v, n));
}
boolvec_t& set_elt(int n, bool a)
{
return
vecmathlib::set_elt<BV,bvector_t,uint_t>(v, n, from_bool(a)), *this;
}
intvec_t as_int() const; // defined after intvec
intvec_t convert_int() const; // defined after intvec
boolvec_t operator!() const { return _mm_xor_ps(boolvec(true), v); }
boolvec_t operator&&(boolvec_t x) const { return _mm_and_ps(v, x.v); }
boolvec_t operator||(boolvec_t x) const { return _mm_or_ps(v, x.v); }
boolvec_t operator==(boolvec_t x) const { return !(*this!=x); }
boolvec_t operator!=(boolvec_t x) const { return _mm_xor_ps(v, x.v); }
bool all() const
{
// return (*this)[0] && (*this)[1] && (*this)[2] && (*this)[3];
#if defined __AVX__
return ! (! *this).any();
#else
boolvec_t x = *this;
x = x && _mm_shuffle_ps(x.v, x.v, _MM_SHUFFLE(2,3,0,1));
return x[0] && x[2];
#endif
}
bool any() const
{
// return (*this)[0] || (*this)[1] || (*this)[2] || (*this)[3];
#if defined __AVX__
return ! bool(_mm_testz_ps(v, v));
#else
boolvec_t x = *this;
x = x || _mm_shuffle_ps(x.v, x.v, _MM_SHUFFLE(2,3,0,1));
return x[0] || x[2];
#endif
}
// ifthen(condition, then-value, else-value)
boolvec_t ifthen(boolvec_t x, boolvec_t y) const;
intvec_t ifthen(intvec_t x, intvec_t y) const; // defined after intvec
realvec_t ifthen(realvec_t x, realvec_t y) const; // defined after realvec
};
template<>
struct intvec<float,4>: floatprops<float>
{
static int const size = 4;
typedef int_t scalar_t;
typedef __m128i ivector_t;
static int const alignment = sizeof(ivector_t);
static_assert(size * sizeof(real_t) == sizeof(ivector_t),
"vector size is wrong");
typedef boolvec<real_t, size> boolvec_t;
typedef intvec intvec_t;
typedef realvec<real_t, size> realvec_t;
// Short names for type casts
typedef real_t R;
typedef int_t I;
typedef uint_t U;
typedef realvec_t RV;
typedef intvec_t IV;
typedef boolvec_t BV;
typedef floatprops<real_t> FP;
typedef mathfuncs<realvec_t> MF;
ivector_t v;
intvec() {}
// Can't have a non-trivial copy constructor; if so, objects won't
// be passed in registers
// intvec(intvec const& x): v(x.v) {}
// intvec& operator=(intvec const& x) { return v=x.v, *this; }
intvec(ivector_t x): v(x) {}
intvec(int_t a): v(_mm_set1_epi32(a)) {}
intvec(int_t const* as): v(_mm_set_epi32(as[3], as[2], as[1], as[0])) {}
static intvec_t iota() { return _mm_set_epi32(3, 2, 1, 0); }
operator ivector_t() const { return v; }
int_t operator[](int n) const
{
return vecmathlib::get_elt<IV,ivector_t,int_t>(v, n);
}
intvec_t& set_elt(int n, int_t a)
{
return vecmathlib::set_elt<IV,ivector_t,int_t>(v, n, a), *this;
}
boolvec_t as_bool() const { return _mm_castsi128_ps(v); }
boolvec_t convert_bool() const
{
// Result: convert_bool(0)=false, convert_bool(else)=true
return ! IV(_mm_cmpeq_epi32(v, IV(0))).as_bool();
}
realvec_t as_float() const; // defined after realvec
realvec_t convert_float() const; // defined after realvec
// Note: not all arithmetic operations are supported!
intvec_t operator+() const { return *this; }
intvec_t operator-() const { return IV(0) - *this; }
intvec_t operator+(intvec_t x) const { return _mm_add_epi32(v, x.v); }
intvec_t operator-(intvec_t x) const { return _mm_sub_epi32(v, x.v); }
intvec_t& operator+=(intvec_t const& x) { return *this=*this+x; }
intvec_t& operator-=(intvec_t const& x) { return *this=*this-x; }
intvec_t operator~() const { return IV(~U(0)) ^ *this; }
intvec_t operator&(intvec_t x) const
{
return _mm_castps_si128(_mm_and_ps(_mm_castsi128_ps(v),
_mm_castsi128_ps(x.v)));
}
intvec_t operator|(intvec_t x) const
{
return _mm_castps_si128(_mm_or_ps(_mm_castsi128_ps(v),
_mm_castsi128_ps(x.v)));
}
intvec_t operator^(intvec_t x) const
{
return _mm_castps_si128(_mm_xor_ps(_mm_castsi128_ps(v),
_mm_castsi128_ps(x.v)));
}
intvec_t& operator&=(intvec_t const& x) { return *this=*this&x; }
intvec_t& operator|=(intvec_t const& x) { return *this=*this|x; }
intvec_t& operator^=(intvec_t const& x) { return *this=*this^x; }
intvec_t bitifthen(intvec_t x, intvec_t y) const;
intvec_t lsr(int_t n) const { return _mm_srli_epi32(v, n); }
intvec_t rotate(int_t n) const;
intvec_t operator>>(int_t n) const { return _mm_srai_epi32(v, n); }
intvec_t operator<<(int_t n) const { return _mm_slli_epi32(v, n); }
intvec_t& operator>>=(int_t n) { return *this=*this>>n; }
intvec_t& operator<<=(int_t n) { return *this=*this<<n; }
intvec_t lsr(intvec_t n) const
{
intvec_t r;
for (int i=0; i<size; ++i) {
r.set_elt(i, U((*this)[i]) >> U(n[i]));
}
return r;
}
intvec_t rotate(intvec_t n) const;
intvec_t operator>>(intvec_t n) const
{
intvec_t r;
for (int i=0; i<size; ++i) {
r.set_elt(i, (*this)[i] >> n[i]);
}
return r;
}
intvec_t operator<<(intvec_t n) const
{
intvec_t r;
for (int i=0; i<size; ++i) {
r.set_elt(i, (*this)[i] << n[i]);
}
return r;
}
intvec_t& operator>>=(intvec_t n) { return *this=*this>>n; }
intvec_t& operator<<=(intvec_t n) { return *this=*this<<n; }
intvec_t clz() const;
intvec_t popcount() const;
boolvec_t operator==(intvec_t const& x) const
{
return ! (*this != x);
}
boolvec_t operator!=(intvec_t const& x) const
{
return (*this ^ x).convert_bool();
}
boolvec_t operator<(intvec_t const& x) const
{
// return (*this - x).as_bool();
boolvec_t r;
for (int i=0; i<size; ++i) {
r.set_elt(i, (*this)[i] < x[i]);
}
return r;
}
boolvec_t operator<=(intvec_t const& x) const
{
return ! (*this > x);
}
boolvec_t operator>(intvec_t const& x) const
{
return x < *this;
}
boolvec_t operator>=(intvec_t const& x) const
{
return ! (*this < x);
}
intvec_t abs() const;
boolvec_t isignbit() const { return as_bool(); }
intvec_t max(intvec_t x) const;
intvec_t min(intvec_t x) const;
};
template<>
struct realvec<float,4>: floatprops<float>
{
static int const size = 4;
typedef real_t scalar_t;
typedef __m128 vector_t;
static int const alignment = sizeof(vector_t);
static char const* name() { return "<SSE2:4*float>"; }
void barrier() { __asm__("": "+x"(v)); }
static_assert(size * sizeof(real_t) == sizeof(vector_t),
"vector size is wrong");
typedef boolvec<real_t, size> boolvec_t;
typedef intvec<real_t, size> intvec_t;
typedef realvec realvec_t;
// Short names for type casts
typedef real_t R;
typedef int_t I;
typedef uint_t U;
typedef realvec_t RV;
typedef intvec_t IV;
typedef boolvec_t BV;
typedef floatprops<real_t> FP;
typedef mathfuncs<realvec_t> MF;
vector_t v;
realvec() {}
// Can't have a non-trivial copy constructor; if so, objects won't
// be passed in registers
// realvec(realvec const& x): v(x.v) {}
// realvec& operator=(realvec const& x) { return v=x.v, *this; }
realvec(vector_t x): v(x) {}
realvec(real_t a): v(_mm_set1_ps(a)) {}
realvec(real_t const* as): v(_mm_set_ps(as[3], as[2], as[1], as[0])) {}
operator vector_t() const { return v; }
real_t operator[](int n) const
{
return vecmathlib::get_elt<RV,vector_t,real_t>(v, n);
}
realvec_t& set_elt(int n, real_t a)
{
return vecmathlib::set_elt<RV,vector_t,real_t>(v, n, a), *this;
}
typedef vecmathlib::mask_t<realvec_t> mask_t;
static realvec_t loada(real_t const* p)
{
VML_ASSERT(intptr_t(p) % alignment == 0);
return _mm_load_ps(p);
}
static realvec_t loadu(real_t const* p)
{
return _mm_loadu_ps(p);
}
static realvec_t loadu(real_t const* p, std::ptrdiff_t ioff)
{
VML_ASSERT(intptr_t(p) % alignment == 0);
if (ioff % realvec::size == 0) return loada(p+ioff);
if (ioff==0) return loada(p);
return loadu(p+ioff);
}
realvec_t loada(real_t const* p, mask_t const& m) const
{
VML_ASSERT(intptr_t(p) % alignment == 0);
if (__builtin_expect(all(m.m), true)) {
return loada(p);
} else {
return m.m.ifthen(loada(p), *this);
}
}
realvec_t loadu(real_t const* p, mask_t const& m) const
{
if (__builtin_expect(m.all_m, true)) {
return loadu(p);
} else {
return m.m.ifthen(loadu(p), *this);
}
}
realvec_t loadu(real_t const* p, std::ptrdiff_t ioff, mask_t const& m) const
{
VML_ASSERT(intptr_t(p) % alignment == 0);
if (ioff % realvec::size == 0) return loada(p+ioff, m);
return loadu(p+ioff, m);
}
void storea(real_t* p) const
{
VML_ASSERT(intptr_t(p) % alignment == 0);
_mm_store_ps(p, v);
}
void storeu(real_t* p) const
{
return _mm_storeu_ps(p, v);
}
void storeu(real_t* p, std::ptrdiff_t ioff) const
{
VML_ASSERT(intptr_t(p) % alignment == 0);
if (ioff % realvec::size == 0) return storea(p+ioff);
storeu(p+ioff);
}
void storea(real_t* p, mask_t const& m) const
{
VML_ASSERT(intptr_t(p) % alignment == 0);
if (__builtin_expect(m.all_m, true)) {
storea(p);
} else {
#if defined __AVX__
_mm_maskstore_ps(p, m.m.as_int(), v);
#else
if (m.m[0]) p[0] = (*this)[0];
if (m.m[1]) p[1] = (*this)[1];
if (m.m[2]) p[2] = (*this)[2];
if (m.m[3]) p[3] = (*this)[3];
#endif
}
}
void storeu(real_t* p, mask_t const& m) const
{
if (__builtin_expect(m.all_m, true)) {
storeu(p);
} else {
if (m.m[0]) p[0] = (*this)[0];
if (m.m[1]) p[1] = (*this)[1];
if (m.m[2]) p[2] = (*this)[2];
if (m.m[3]) p[3] = (*this)[3];
}
}
void storeu(real_t* p, std::ptrdiff_t ioff, mask_t const& m) const
{
VML_ASSERT(intptr_t(p) % alignment == 0);
if (ioff % realvec::size == 0) return storea(p+ioff, m);
storeu(p+ioff, m);
}
intvec_t as_int() const { return _mm_castps_si128(v); }
intvec_t convert_int() const { return _mm_cvttps_epi32(v); }
realvec_t operator+() const { return *this; }
realvec_t operator-() const { return RV(0.0) - *this; }
realvec_t operator+(realvec_t x) const { return _mm_add_ps(v, x.v); }
realvec_t operator-(realvec_t x) const { return _mm_sub_ps(v, x.v); }
realvec_t operator*(realvec_t x) const { return _mm_mul_ps(v, x.v); }
realvec_t operator/(realvec_t x) const { return _mm_div_ps(v, x.v); }
realvec_t& operator+=(realvec_t const& x) { return *this=*this+x; }
realvec_t& operator-=(realvec_t const& x) { return *this=*this-x; }
realvec_t& operator*=(realvec_t const& x) { return *this=*this*x; }
realvec_t& operator/=(realvec_t const& x) { return *this=*this/x; }
real_t maxval() const
{
// return vml_std::fmax(vml_std::fmax((*this)[0], (*this)[1]),
// vml_std::fmax((*this)[2], (*this)[3]));
realvec_t x0123 = *this;
realvec_t x1032 = _mm_shuffle_ps(x0123, x0123, 0b10110001);
realvec_t y0022 = x0123.fmax(x1032);
return vml_std::fmax(y0022[0], y0022[2]);
}
real_t minval() const
{
// return vml_std::fmin(vml_std::fmin((*this)[0], (*this)[1]),
// vml_std::fmin((*this)[2], (*this)[3]));
realvec_t x0123 = *this;
realvec_t x1032 = _mm_shuffle_ps(x0123, x0123, 0b10110001);
realvec_t y0022 = x0123.fmin(x1032);
return vml_std::fmin(y0022[0], y0022[2]);
}
real_t prod() const
{
// return (*this)[0] * (*this)[1] * (*this)[2] * (*this)[3];
realvec_t x0123 = *this;
realvec_t x1032 = _mm_shuffle_ps(x0123, x0123, 0b10110001);
realvec_t y0022 = x0123 * x1032;
return y0022[0] * y0022[2];
}
real_t sum() const
{
#ifdef __SSE3__
realvec_t x = *this;
x = _mm_hadd_ps(x.v, x.v);
x = _mm_hadd_ps(x.v, x.v);
return x[0];
#else
// return (*this)[0] + (*this)[1] + (*this)[2] + (*this)[3];
realvec_t x0123 = *this;
realvec_t x1032 = _mm_shuffle_ps(x0123, x0123, 0b10110001);
realvec_t y0022 = x0123 + x1032;
return y0022[0] + y0022[2];
#endif
}
boolvec_t operator==(realvec_t const& x) const
{
return _mm_cmpeq_ps(v, x.v);
}
boolvec_t operator!=(realvec_t const& x) const
{
return _mm_cmpneq_ps(v, x.v);
}
boolvec_t operator<(realvec_t const& x) const
{
return _mm_cmplt_ps(v, x.v);
}
boolvec_t operator<=(realvec_t const& x) const
{
return _mm_cmple_ps(v, x.v);
}
boolvec_t operator>(realvec_t const& x) const
{
return _mm_cmpgt_ps(v, x.v);
}
boolvec_t operator>=(realvec_t const& x) const
{
return _mm_cmpge_ps(v, x.v);
}
realvec_t acos() const { return MF::vml_acos(*this); }
realvec_t acosh() const { return MF::vml_acosh(*this); }
realvec_t asin() const { return MF::vml_asin(*this); }
realvec_t asinh() const { return MF::vml_asinh(*this); }
realvec_t atan() const { return MF::vml_atan(*this); }
realvec_t atan2(realvec_t y) const { return MF::vml_atan2(*this, y); }
realvec_t atanh() const { return MF::vml_atanh(*this); }
realvec_t cbrt() const { return MF::vml_cbrt(*this); }
realvec_t ceil() const
{
#ifdef __SSE4_1__
return _mm_ceil_ps(v);
#else
return MF::vml_ceil(*this);
#endif
}
realvec_t copysign(realvec_t y) const { return MF::vml_copysign(*this, y); }
realvec_t cos() const { return MF::vml_cos(*this); }
realvec_t cosh() const { return MF::vml_cosh(*this); }
realvec_t exp() const { return MF::vml_exp(*this); }
realvec_t exp10() const { return MF::vml_exp10(*this); }
realvec_t exp2() const { return MF::vml_exp2(*this); }
realvec_t expm1() const { return MF::vml_expm1(*this); }
realvec_t fabs() const { return MF::vml_fabs(*this); }
realvec_t fdim(realvec_t y) const { return MF::vml_fdim(*this, y); }
realvec_t floor() const
{
#ifdef __SSE4_1__
return _mm_floor_ps(v);
#else
return MF::vml_floor(*this);
#endif
}
realvec_t fma(realvec_t y, realvec_t z) const
{
return MF::vml_fma(*this, y, z);
}
realvec_t fmax(realvec_t y) const { return _mm_max_ps(v, y.v); }
realvec_t fmin(realvec_t y) const { return _mm_min_ps(v, y.v); }
realvec_t fmod(realvec_t y) const { return MF::vml_fmod(*this, y); }
realvec_t frexp(intvec_t* r) const { return MF::vml_frexp(*this, r); }
realvec_t hypot(realvec_t y) const { return MF::vml_hypot(*this, y); }
intvec_t ilogb() const { return MF::vml_ilogb(*this); }
boolvec_t isfinite() const { return MF::vml_isfinite(*this); }
boolvec_t isinf() const { return MF::vml_isinf(*this); }
boolvec_t isnan() const
{
#if defined VML_HAVE_NAN
return _mm_cmpunord_ps(v, v);
#else
return BV(false);
#endif
}
boolvec_t isnormal() const { return MF::vml_isnormal(*this); }
realvec_t ldexp(int_t n) const { return MF::vml_ldexp(*this, n); }
realvec_t ldexp(intvec_t n) const { return MF::vml_ldexp(*this, n); }
realvec_t log() const { return MF::vml_log(*this); }
realvec_t log10() const { return MF::vml_log10(*this); }
realvec_t log1p() const { return MF::vml_log1p(*this); }
realvec_t log2() const { return MF::vml_log2(*this); }
realvec_t mad(realvec_t y, realvec_t z) const
{
return MF::vml_mad(*this, y, z);
}
realvec_t nextafter(realvec_t y) const
{
return MF::vml_nextafter(*this, y);
}
realvec_t pow(realvec_t y) const { return MF::vml_pow(*this, y); }
realvec_t rcp() const
{
realvec_t x = *this;
realvec_t r = _mm_rcp_ps(x); // this is only an approximation
r *= RV(2.0) - r*x; // one Newton iteration (see vml_rcp)
return r;
}
realvec_t remainder(realvec_t y) const { return MF::vml_remainder(*this, y); }
realvec_t rint() const
{
#ifdef __SSE4_1__
return _mm_round_ps(v, _MM_FROUND_TO_NEAREST_INT);
#else
return MF::vml_rint(*this);
#endif
}
realvec_t round() const { return MF::vml_round(*this); }
realvec_t rsqrt() const
{
realvec_t x = *this;
realvec_t r = _mm_rsqrt_ps(x); // this is only an approximation
r *= RV(1.5) - RV(0.5)*x * r*r; // one Newton iteration (see vml_rsqrt)
return r;
}
boolvec_t signbit() const { return v; }
realvec_t sin() const { return MF::vml_sin(*this); }
realvec_t sinh() const { return MF::vml_sinh(*this); }
realvec_t sqrt() const { return _mm_sqrt_ps(v); }
realvec_t tan() const { return MF::vml_tan(*this); }
realvec_t tanh() const { return MF::vml_tanh(*this); }
realvec_t trunc() const
{
#ifdef __SSE4_1__
return _mm_round_ps(v, _MM_FROUND_TO_ZERO);
#else
return MF::vml_trunc(*this);
#endif
}
};
// boolvec definitions
inline intvec<float,4> boolvec<float,4>::as_int() const
{
return _mm_castps_si128(v);
}
inline intvec<float,4> boolvec<float,4>::convert_int() const
{
return lsr(as_int(), bits-1);
}
inline
boolvec<float,4> boolvec<float,4>::ifthen(boolvec_t x, boolvec_t y) const
{
return ifthen(x.as_int(), y.as_int()).as_bool();
}
inline intvec<float,4> boolvec<float,4>::ifthen(intvec_t x, intvec_t y) const
{
return ifthen(x.as_float(), y.as_float()).as_int();
}
inline
realvec<float,4> boolvec<float,4>::ifthen(realvec_t x, realvec_t y) const
{
#ifdef __SSE4_1__
return _mm_blendv_ps(y.v, x.v, v);
#else
return (( -convert_int() & x.as_int()) |
(~-convert_int() & y.as_int())).as_float();
#endif
}
// intvec definitions
inline intvec<float,4> intvec<float,4>::abs() const
{
#ifdef __SSSE3__
return _mm_abs_epi32(v);
#else
return MF::vml_abs(*this);
#endif
}
inline realvec<float,4> intvec<float,4>::as_float() const
{
return _mm_castsi128_ps(v);
}
inline intvec<float,4> intvec<float,4>::bitifthen(intvec_t x,
intvec_t y) const
{
return MF::vml_bitifthen(*this, x, y);
}
inline intvec<float,4> intvec<float,4>::clz() const
{
return MF::vml_clz(*this);
}
inline realvec<float,4> intvec<float,4>::convert_float() const
{
return _mm_cvtepi32_ps(v);
}
inline intvec<float,4> intvec<float,4>::max(intvec_t x) const
{
#ifdef __SSE4_1__
return _mm_max_epi32(v, x.v);
#else
return MF::vml_max(*this, x);
#endif
}
inline intvec<float,4> intvec<float,4>::min(intvec_t x) const
{
#ifdef __SSE4_1__
return _mm_min_epi32(v, x.v);
#else
return MF::vml_min(*this, x);
#endif
}
inline intvec<float,4> intvec<float,4>::popcount() const
{
return MF::vml_popcount(*this);
}
inline intvec<float,4> intvec<float,4>::rotate(int_t n) const
{
return MF::vml_rotate(*this, n);
}
inline intvec<float,4> intvec<float,4>::rotate(intvec_t n) const
{
return MF::vml_rotate(*this, n);
}
} // namespace vecmathlib
#endif // #ifndef VEC_SSE_FLOAT4_H
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